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Journal of Inequalities and Applications
Published in: Journal of Inequalities and Applications 1/2006

Open Access 01-12-2006 | Research Article

Schwarz-Pick-type estimates for the hyperbolic derivative

Author: Peter R. Mercer

Published in: Journal of Inequalities and Applications | Issue 1/2006

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Abstract

We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F96368/MediaObjects/13660_2005_Article_1664_IEq1_HTML.gif .
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Literature
1.
Beardon AF: The Schwarz-Pick lemma for derivatives. Proceedings of the American Mathematical Society 1997,125(11):3255–3256. 10.1090/S0002-9939-97-03906-3MathSciNetCrossRefMATH
2.
Duren PL: Univalent Functions, Fundamental Principles of Mathematical Sciences. Volume 259. Springer, New York; 1983:xiv+382.
3.
4.
Mercer PR: Sharpened versions of the Schwarz lemma. Journal of Mathematical Analysis and Applications 1997,205(2):508–511. 10.1006/jmaa.1997.5217MathSciNetCrossRefMATH
5.
6.
Yamashita S: The Pick version of the Schwarz lemma and comparison of the Poincaré densities. Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1994,19(2):291–322.MathSciNetMATH
Metadata
Title
Schwarz-Pick-type estimates for the hyperbolic derivative
Author
Peter R. Mercer
Publication date
01-12-2006
Publisher
Springer International Publishing
Published in
Journal of Inequalities and Applications / Issue 1/2006
Electronic ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/96368

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